Every yearr all incoming high school freshmen in a large school district take a math placement test. For this year's testr the district has prepared two possible ESPN'0' versions: Version 1 that covers more material than last year's test and Version 2 test that is similar to last year's test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine thisr over the summer the district randomly selects 95 incoming freshmen to come to its offices to take Version 1r and it randomly selects I55 incoming freshmen to come take Version 2. The 95 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 1]".1 . The 65 incoming freshmen tal-cing Version 2 score a mean of 11?.0 points with a standard deviation of \".9. Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviationsr since the 0 samples that are used to compute them are quite large. At the 0.05 level of signicancer is there enough evidence to support the claim that the mean test score, l'llr for Version 1 is less than the mean test score. _|.l2, for Version 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a st of formulas.)- Go {a} State the null hypothesis H0 and the alternative hypothesis H1. l~l G P E H :I] o I s S III H1 :I] _j _ I: . _ . _ II t g (In) Determine the type of test statistic to use. =5 355 3a: El (c) Find the value of the test statistic. (Round to three or more decimal places.) D (cl) Find the critical value at the 0.05 level of signicance. (Round to three or more decimal places.) D {e} Can we support the claim that the mean test score for Version 1 is less than the mean test score of Version 2? X 53 C Yes 3') No